Geometric progression is the progression in which every next term is found by multiplying the previous term by a fixed number. In other words, we can say that it is the progression in which any term divided by previous term always remain constant. Lets take an example of geometric progression.
A natural number m is called a perfect square number if it can be expressed as $$n^2$$ where n is also a natural number. For example, 4 is a perfect square number because it is a natural number and it can be expressed as $$2^2$$ and 2 is also a … [Continue reading]
Please go through the article on perfect square numbers if you want better understanding on what are perfect square numbers. If you are given a list of numbers, can we rule out numbers from the list which are definitely not perfect square numbers. … [Continue reading]
We have a property $$(a+b)^2=a^2+b^2+2ab$$ Can we easily find the value of $$54^2$$ using the above property? … [Continue reading]
If you want to recall what are perfect square numbers then please refer to my article on What are the perfect square numbers. This article asks a question that how many natural numbers lie between two consecutive perfect square numbers. You can also … [Continue reading]